A clique of size k is a subgraph that consists of k vertices that are all connected to each via an edge, i.e., all k(k−1)/2 edges exists. In class we proved that the problem of finding whether a graph contains a k -elique is NP-complete. Consider a similar problem: a k -clique with spikes consists of 2k vertices such that the first k elements form a clique and the rest k vertices are connected via an edge a different vertex of the clique. onsider a similar problem: Given a graph G and a number k find whether a k -clique with spikes exists. Show that the problem is NP-conplete.

A k-clique is a relaxed clique in social network analysis, i.e. a quasi-complete sub-graph.In a graph, a k-clique is a subgraph where the distance between any two vertices is less than k.

What exactly is a K-clique subgraph?

A k-clique is a relaxed clique in social network analysis, i.e. a quasi-complete sub-graph.In a graph, a k-clique is a subgraph where the distance between any two vertices is less than k.

A graph can readily display a limited number of vertices.A clique of size k in a graph G is a clique of graph G with k vertices, which means that the degree of each vertex in that clique is k-1.

So, if there is a subset of k vertices in the graph G that are related to each other, we say that graph has a k-clique.A clique is a subgraph of a graph that has all of its vertices linked.
The k-clique problem is concerned with determining the biggest complete subgraph of size k on a network, and it has numerous applications in Social Network Analysis (SNA), coding theory, geometry, and so on.

To learn more about A clique refer

https://brainly.com/question/1474689

#SPJ4